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Maths Exam

1. Simplify 1

Simplify the following expression: $$ \left(2 - 6\right)\left(-1 - -6\right) - {\left(3 - 2\right)}^{2} $$
Correct Answer
$$ -21$$ or -21.0000

2. Simplify 2

Simplify the following expression: $$ {\left(2(-6)5\right)}^{\left(\frac{-6}{5} - 1\times1\right)} $$
Correct Answer
$$ {(-60)}^{\frac{-11}{5}}$$ or NaN

3. Fractions 1

Simplify the following expression: $$ \frac{5}{2} - \frac{2}{5} $$
Correct Answer
$$ \frac{21}{10}$$ or 2.1

4. Fractions 2

Simplify the following expression: $$ \frac{\frac{2}{6}}{\frac{1}{3}} $$
Correct Answer
$$ 1$$ or 1.0

5. Significant figures

1. Write the following to 5 significant figures: 2.8397859
Correct Answer
2.8398 or $$2.8398\times10^{0}$$
2. Write the following to 4 significant figures: 848.40737
Correct Answer
848.4 or $$8.484\times10^{2}$$

6. Standard Form

1. Write the following in standard form to 4 significant digits: 0.000210263
Correct Answer
$$2.103\times10^{-4}$$
2. Write the following in standard form to 4 significant digits: 0.284492
Correct Answer
$$2.845\times10^{-1}$$

7. Significant figures

1. Write the following in preferred standard form to 4 significant digits: 0.000574249
Correct Answer
$$574.2\times10^{-6}$$
2. Write the following in preferred standard form to 3 significant digits: 0.1748
Correct Answer
$$175\times10^{-3}$$

8. Simplify 2

Simplify the following expression: $$ \frac{2\times4}{-4(-5)}2(-6)1 $$
Correct Answer
$$ \frac{-24}{5}$$ or -4.80000

9. Simplify 1

Simplify the following expression: $$ 2\times2\times4\left(-5(-1) + -1 - 5\right) $$
Correct Answer
$$ -16$$ or -16.0000

10. Simplify 2

Simplify the following expression: $$ {\left(2 + 5\right)}^{2} - \frac{4 - -4}{-6 + -5} $$
Correct Answer
$$ \frac{547}{11}$$ or 49.7273


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